Dp. Song et Yx. Sun, GRADIENT ESTIMATE FOR PARAMETER DESIGN OF THRESHOLD CONTROLLERS IN A FAILURE-PRONE PRODUCTION SYSTEM, International Journal of Systems Science, 29(1), 1998, pp. 21-32
Citations number
21
Categorie Soggetti
Computer Science Theory & Methods","Operatione Research & Management Science","Computer Science Theory & Methods","Operatione Research & Management Science","Robotics & Automatic Control
A manufacturing system, with n failure-prone machines in tandem and n
internal buffers, is considered. Two threshold control policies, which
can be interpreted as the noted PULL and PUSH policies, ave used to r
egulate the system. To optimize the threshold values, the key problem
is to find the available gi adient information of objective functional
with respect to threshold values. We apply the perturbation analysis
technique to this system. By defining the machine states and events in
the evolution of the system, general perturbation rules are presented
Then simple algorithms are developed to derive the gradient estimates
based on a single sample process, which may, save a lot of computatio
nal efforts and simulation/experiment times. The unbiasedness and cons
istency of the gradient estimates are proved. Simulation examples are
given to demonstrate the effectiveness of the results.